IMO- Mathematics Olympiad Class 10: Questions 85 - 90 of 889

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 889 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 400.00 or

Question number: 85

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The digit at the ten’s place of a two digit number is twice the digit at the unit’s place. If the sum of this number and the number formed by reversing the digits is 99, find the number.

Choices

Choice (4) Response
a.

36

b.

52

c.

63

d.

24

Question number: 86

» Polynomials

MCQ▾

Question

If α,β are the roots of x2+3x+7=0 then a2+b2 is ________

Choices

Choice (4) Response
a.

-10

b.

-5

c.

-15

d.

-20

Question number: 87

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The ratio between a two – digit number and the sum of digits of that number is 4:1 . If the digit in the unit place is 3 more than the digit in the tenth place, what is the number?

Choices

Choice (4) Response
a.

40

b.

24

c.

63

d.

36

Question number: 88

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k for which the system of equations x+2y3=0and5x+ky+7=0 has no solution, is ________

Choices

Choice (4) Response
a.

3

b.

1

c.

10

d.

6

Question number: 89

» Polynomials

MCQ▾

Question

If one zero of the polynomial (k2+25)x2+30x+10k is a reciprocal of the other, then k is equal to ________

Choices

Choice (4) Response
a.

2

b.

9

c.

7

d.

5

Question number: 90

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The denominators of a rational number is greater than its numerator by 5. If 2 is subtracted from the numerator and 5 is added to the denominator, the new number becomes 113 . Then the original number was ________

Choices

Choice (4) Response
a.

38

b.

98

c.

78

d.

97

Sign In